Dispersion Measures Explained

Measures of dispersion quantify the spread or variability of data points in a dataset. Let's analyze the given options:

• Standard Deviation (A): Measures the average amount of variability in the data. It's a key measure of dispersion.
• Quartile Deviation (B): Measures the spread of the middle 50% of the data. It's also a measure of dispersion.
• Mode (C): Represents the most frequently occurring value in a dataset. It is a measure of central tendency, not dispersion.
• Variance (D): The square of the standard deviation, indicating the degree of data spread. It's a measure of dispersion.
• Range (E): The difference between the highest and lowest values in a dataset. It's the simplest measure of dispersion.

Identifying Correct Measures

Based on the analysis, the measures of dispersion from the list are:

• Standard Deviation (A)
• Quartile Deviation (B)
• Variance (D)
• Range (E)

The mode (C) is a measure of central tendency.

Conclusion

Therefore, the correct set of measures of dispersion includes A, B, D, and E.

The correct option is the one listing A, B, D, E Only.